Skip to main content

Advertisement

The High-Resolution Rate-Distortion Function under the Structural Similarity Index

Article metrics

  • 1077 Accesses

  • 4 Citations

Abstract

We show that the structural similarity (SSIM) index, which is used in image processing to assess the similarity between an image representation and an original reference image, can be formulated as a locally quadratic distortion measure. We, furthermore, show that recent results of Linder and Zamir on the rate-distortion function (RDF) under locally quadratic distortion measures are applicable to this SSIM distortion measure. We finally derive the high-resolution SSIM-RDF and provide a simple method to numerically compute an approximation of the SSIM-RDF of real images.

Publisher note

To access the full article, please see PDF.

Author information

Correspondence to Jan Østergaard.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Østergaard, J., Derpich, M.S. & Channappayya, S.S. The High-Resolution Rate-Distortion Function under the Structural Similarity Index. EURASIP J. Adv. Signal Process. 2011, 857959 (2011) doi:10.1155/2011/857959

Download citation

Keywords

  • Image Processing
  • Information Technology
  • Recent Result
  • Quantum Information
  • Similarity Index